What is the Least Common Multiple of 69564 and 69576?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 69564 and 69576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69564 and 69576, than apply into the LCM equation.

GCF(69564,69576) = 12
LCM(69564,69576) = ( 69564 × 69576) / 12
LCM(69564,69576) = 4839984864 / 12
LCM(69564,69576) = 403332072

Least Common Multiple (LCM) of 69564 and 69576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69564 and 69576. First we will calculate the prime factors of 69564 and 69576.

Prime Factorization of 69564

Prime Factorization of 69576

Now multiplying the highest exponent prime factors to calculate the LCM of 69564 and 69576.

LCM(69564,69576) = 2³ × 3¹ × 11¹ × 17¹ × 31¹ × 13¹ × 223¹
LCM(69564,69576) = 403332072